On the asymptotic integration of a linear system of differential equations with a small parameter in the coefficients of some derivatives-Reference-Cited by-同舟云学术

On the asymptotic integration of a linear system of differential equations with a small parameter in the coefficients of some derivatives

Published:2009-04 Issue:2 Volume:12 Page:213-243
ISSN:1536-0059
Container-title:Nonlinear Oscillations
language:en
Short-container-title:Nonlinear Oscill

Author:

Samoilenko A. M.,Klyuchnyk I. H.

Publisher

Springer Science and Business Media LLC

Subject

Mathematics (miscellaneous)

Link

http://link.springer.com/content/pdf/10.1007/s11072-009-0073-5.pdf

Reference15 articles.

1. R. E. Langer, “The asymptotic solutions of a linear differential equation of the second order with two turning points,” Trans. Amer. Math. Soc., 90, 113–142 (1959).

2. R. E. Langer, “The solutions of the differential equations v″′ + λ2 zv′ + 3μλ2 v = 0,” Duke Math. J., 22, 525–542 (1955).

3. W. Wasow, Asymptotic Expansions for Ordinary Differential Equations, Wiley, New York (1965).

4. W. Wasow, Linear Turning Point Theory, Springer, New York (1985).

5. A. A. Dorodnitsyn, “Asymptotic laws of distribution of eigenvalues for some special types of differential equations of the second order,” Usp. Mat. Nauk, 27, Issue 6 (52), 3–96 (1952).

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